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Math Help - cosx and sinx when x= 0

  1. #1
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    cosx and sinx when x= 0

    why is the value of cos x when x is 0 equal one?:

    cos 0= 1

    what is the value of sin when x = 0?

    are there any other forms of this?
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  2. #2
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    Joined
    Sep 2008
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    Hey there arturdo,

    I'm assuming you understand the trig ratios cosine and sine refer to the angular relationship of a right-angled triangle.

    Imagine you have a right triangle with a hypotenuse length of 1 unit.

    Assume that one corner has angular measure 0 degrees. This means, in reality, the triangle has the appearance of a straight line 1 unit long.

    Taking this corner angle of 0 degrees, the cosine ratio can be shown as:

    cos 0^o = \frac {Adjacent}{Hypotenuse} = \frac {1}{1} = 1

    Similarly,

    sin 0^o = \frac {Opposite}{Hypotenuse} = \frac {0}{1} = 0

    Trust this helps.
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